素数立方阶群局部传递的图  

Graphs on which a group of order prime cube acts local-transitively

作　　者：陈尚弟[1] 朱文艳[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《纯粹数学与应用数学》2010年第2期193-200,219,共9页Pure and Applied Mathematics

基　　金：国家自然科学基金(60776810);天津市自然科学基金(08JCYBJC13900);中国民航大学科研基金(09CAUC-S02)

摘　　要：目的是研究局部传递图的性质和分类.运用置换群和陪集图的理论,获得了关于素数立方阶群局部传递图的完全分类,证明了这些图是一些互不相交的关于素数立方阶群边传递图的并.It is the purpose studying the properties and classifications of local-transitive graphs in this paper.Using the theory of permutation groups and coset graphs,we obtain a completely classification of the graphs on which the action of a group of order prime cube is local-transitive.It is shown that they are the union of some graphs which are mutual disjoint,and the action of a group of order prime cube on each graph is edge-transitive.

关 键 词：素数立方阶群 局部传递图 边传递图 

分 类 号：O152.8[理学—数学]